Yeah, none of these minor leaguers are going to be Konerko's replacement. And while I still have faith in Viciedo, I think you keep him in LF until someone forces him out of the spot or until he shows he can't handle the position defensively.
That means free agency or the trade market. One name that would be somewhat intriguing on the cheap would be Kendrys Morales. He'll be 30 to start the 2014 season, he can hit RHP, and playing at Safeco this year could suppress his power numbers. If you can get him at a reasonable price, he might be a nice replacement for Konerko.